Singular Failures of GCH and Level by Level Equivalence
Arthur W. Apter
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014), p. 11-21 / Harvested from The Polish Digital Mathematics Library
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We construct a model for the level by level equivalence between strong compactness and supercompactness in which below the least supercompact cardinal κ, there is an unbounded set of singular cardinals which witness the only failures of GCH in the universe. In this model, the structure of the class of supercompact cardinals can be arbitrary.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281233 
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     title = {Singular Failures of GCH and Level by Level Equivalence},
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     language = {en},
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Arthur W. Apter. Singular Failures of GCH and Level by Level Equivalence. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 11-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-1-2/